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On the Mathematical Theory of Human Migration: Model of a Migration Channel with a Secondary and a Tertiary Arm

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arxiv 1901.02361 v1 pith:XSF5HCN5 submitted 2019-01-05 physics.soc-ph

Roumen Borisov , Nikolay K. Vitanov This is my paper · ORCID
classification physics.soc-ph
keywords channelmigrationmodelmotionsubstancearmscountriesdifferent
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We study the motion of substance in a finite channel that belongs to a network. The channel splits to two arms in a node of the network. There is an additional split of the secondary arm. We obtain analytical relationships for the distribution of the substance in the nodes of the channel for the case of stationary regime of the motion of the substance in the arms of the channel. The obtained results are discussed from the point of view of application of the model to migration dynamics: model of motion of migrants in a channel consisting of chains of countries with different probabilities for obtaining permission to stay for the migrants in the different countries of the channel

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Simple Equations Method (SEsM) and the use of exponential functions for obtaining simple and multisoliton solutions of some nonlinear partial differential equations

    nlin.SI 2019-09 conditional novelty 3.0 of 10

    A generalized ansatz method (SEsM) is shown to reproduce Hirota's KdV multisoliton solutions and to yield an exact solution of a nonintegrable fifth-order KdV-type equation.

  2. Simple equations method (SEsM) and some of its numerous particular cases

    nlin.SI 2019-08 conditional novelty 2.0 of 10

    The Simple Equations Method is a broad ansatz framework, and several established solution methods are shown to be particular cases, but the result is nearly tautological.

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